details

property	value
status	complete
benchmark	PEANO_complete_noand_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n178.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	10.094201088 seconds
cpu usage	12.29925437
max memory	6.75713024E8

stage attributes

key	value
output-size	58464
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [EQUIVALENT, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 103 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 20 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 35 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 13 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 10 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 13 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 11 ms] (24) CSR (25) CSRRRRProof [EQUIVALENT, 10 ms] (26) CSR (27) CSRRRRProof [EQUIVALENT, 0 ms] (28) CSR (29) CSRRRRProof [EQUIVALENT, 0 ms] (30) CSR (31) CSRRRRProof [EQUIVALENT, 3 ms] (32) CSR (33) CSRRRRProof [EQUIVALENT, 0 ms] (34) CSR (35) RisEmptyProof [EQUIVALENT, 0 ms] (36) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(U11(tt, V1, V2)) -> mark(U12(isNatKind(V1), V1, V2)) active(U12(tt, V1, V2)) -> mark(U13(isNatKind(V2), V1, V2)) active(U13(tt, V1, V2)) -> mark(U14(isNatKind(V2), V1, V2)) active(U14(tt, V1, V2)) -> mark(U15(isNat(V1), V2)) active(U15(tt, V2)) -> mark(U16(isNat(V2))) active(U16(tt)) -> mark(tt) active(U21(tt, V1)) -> mark(U22(isNatKind(V1), V1)) active(U22(tt, V1)) -> mark(U23(isNat(V1))) active(U23(tt)) -> mark(tt) active(U31(tt, V2)) -> mark(U32(isNatKind(V2))) active(U32(tt)) -> mark(tt) active(U41(tt)) -> mark(tt) active(U51(tt, N)) -> mark(U52(isNatKind(N), N)) active(U52(tt, N)) -> mark(N) active(U61(tt, M, N)) -> mark(U62(isNatKind(M), M, N)) active(U62(tt, M, N)) -> mark(U63(isNat(N), M, N)) active(U63(tt, M, N)) -> mark(U64(isNatKind(N), M, N)) active(U64(tt, M, N)) -> mark(s(plus(N, M))) active(isNat(0)) -> mark(tt) active(isNat(plus(V1, V2))) -> mark(U11(isNatKind(V1), V1, V2)) active(isNat(s(V1))) -> mark(U21(isNatKind(V1), V1)) active(isNatKind(0)) -> mark(tt) active(isNatKind(plus(V1, V2))) -> mark(U31(isNatKind(V1), V2)) active(isNatKind(s(V1))) -> mark(U41(isNatKind(V1))) active(plus(N, 0)) -> mark(U51(isNat(N), N)) active(plus(N, s(M))) -> mark(U61(isNat(M), M, N)) active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3) active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3) active(U13(X1, X2, X3)) -> U13(active(X1), X2, X3) active(U14(X1, X2, X3)) -> U14(active(X1), X2, X3) active(U15(X1, X2)) -> U15(active(X1), X2) active(U16(X)) -> U16(active(X)) active(U21(X1, X2)) -> U21(active(X1), X2) active(U22(X1, X2)) -> U22(active(X1), X2) active(U23(X)) -> U23(active(X)) active(U31(X1, X2)) -> U31(active(X1), X2) active(U32(X)) -> U32(active(X)) active(U41(X)) -> U41(active(X)) active(U51(X1, X2)) -> U51(active(X1), X2) active(U52(X1, X2)) -> U52(active(X1), X2) active(U61(X1, X2, X3)) -> U61(active(X1), X2, X3) popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard